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Finding the Fourth Proportional to 7,114.66, 9,818.26 and 3,970.96

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Solution

The fourth proportional to 7,114.66, 9,818.26 and 3,970.96 is: 5,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.66 : 9,818.26 = 3,970.96 : x
  2. Step 2: Convert to fraction form
    7,114.66/9,818.26 = 3,970.96/x
  3. Step 3: Cross multiply
    7,114.66x = 9,818.26 × 3,970.96
  4. Step 4: Simplify right side
    7,114.66x = 38,987,917.73
  5. Step 5: Solve for x
    x = 38,987,917.73/7,114.66
  6. Step 6: Final answer
    x = 5,479.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.